288800080 has 40 divisors (see below), whose sum is σ = 710961192. Its totient is φ = 108724224.

The previous prime is 288800053. The next prime is 288800129. The reversal of 288800080 is 80008882.

It can be written as a sum of positive squares in 4 ways, for example, as 96589584 + 192210496 = 9828^2 + 13864^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104817 + ... + 107536.

Almost surely, 2^288800080 is an apocalyptic number.

288800080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288800080 is an abundant number, since it is smaller than the sum of its proper divisors (422161112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288800080 is a wasteful number, since it uses less digits than its factorization.

288800080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212383 (or 212377 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 288800080 is about 16994.1189827540. The cubic root of 288800080 is about 660.9964135198.

It can be divided in two parts, 2888000 and 80, that multiplied together give a square (231040000 = 15200²).

The spelling of 288800080 in words is "two hundred eighty-eight million, eight hundred thousand, eighty".